The Tame Automorphism Subgroup of Affine Three-Space Is Not Closed

来源 :International Short-School/Conference on Affine Algebraic Ge | 被引量 : 0次 | 上传用户：jimislg

【摘要】

：

　　In this talk,we consider the automorphism group of the affine three-space endowed with the natural topology coming from its structure of infinite-dimensiona

【作者】

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Pierre-MariePoloni;

【机构】

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University of Basel,Switzerland

【出处】

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International Short-School/Conference on Affine Algebraic Ge

【发表日期】

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2014年期

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　　In this talk,we consider the automorphism group of the affine three-space endowed with the natural topology coming from its structure of infinite-dimensional algebraic variety(in the sense of Shafarevich).We will prove that the subgroup of tame automorphisms is not closed in this topology.For this,we will construct explicit families of tame automorphisms of bounded degrees,which degenerate to wild automorphisms.Joint work with Eric Edo.

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The Tame Automorphism Subgroup of Affine Three-Space Is Not Closed

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